{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.interpolate import spline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\anaconda\\lib\\site-packages\\ipykernel_launcher.py:9: DeprecationWarning: `spline` is deprecated!\n",
      "spline is deprecated in scipy 0.19.0, use Bspline class instead.\n",
      "  if __name__ == '__main__':\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def bar():\n",
    "    fig = plt.figure(figsize=(10,5),dpi=100)\n",
    "    ax = fig.add_subplot(1,1,1)\n",
    "    \n",
    "    x = np.arange(0,10)\n",
    "    y = np.random.randint(1,12,size=10)\n",
    "    ax.bar(x,y,width=1,edgecolor=\"white\",facecolor=\"#ca8a8b\")\n",
    "    # 绘制曲线图\n",
    "    ax.plot(np.linspace(0,9,500),spline(x,y+2,np.linspace(0,9,500)),color=\"#f21170\")\n",
    "    # 拿到坐标系的背景板\n",
    "    ax.patch.set(fc=\"#c0fefc\")\n",
    "    # 设置刻度值\n",
    "    ax.set_xticks(np.arange(0,10))\n",
    "    \n",
    "    # 这是一个非常重要的helper方法，可以修改刻度的一些细节的样式\n",
    "    ax.xaxis.set_tick_params(direction=\"in\",labelcolor=\"#f55c47\",labelsize=18,length=5,pad=10)\n",
    "    # 修改网格线的样式\n",
    "    ax.yaxis.grid(True,color=\"#cccccc\",alpha=0.5,linestyle=\":\")\n",
    "    # 修改轴线的样式\n",
    "    # spines is the container of all Spines in an Axes.\n",
    "    ax.spines[\"bottom\"].set(color=\"#7b6079\",linewidth=3)\n",
    "    ax.spines[\"left\"].set(color=\"#7b6079\",linewidth=3)\n",
    "    ax.spines[\"top\"].set_visible(False)\n",
    "    ax.spines[\"right\"].set_visible(False)\n",
    "    \n",
    "    ax.invert_xaxis()\n",
    "    ax.set_xbound(-0.5,9.5)\n",
    "    \n",
    "    for i in range(len(x)):\n",
    "        ax.text(x[i],y[i]+1,y[i])\n",
    "    \n",
    "    # 单独拿到x轴的刻度线\n",
    "    for line in ax.xaxis.get_ticklines():\n",
    "        line.set(color=\"#f55c47\",linewidth=3)\n",
    "    \n",
    "bar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
